ON THE CONVERGENCE OF NONSTATIONARY ALGORITHMS MODELED BY POINT-TO-SET MAPS

被引：1

作者：

SZIDAROVSZKY, F

机构：

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1990年 / 39卷 / 02期

关键词：

D O I：

10.1016/0096-3003(90)90025-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A general convergence theorem is introduced and proven for nonstationary algorithms modeled by point-to-set maps. Our result is an extension of the general convergence theorem due to Tishyadhigama et al. (1979). © 1990.

引用

页码：107 / 110

页数：4

共 50 条

[1] COMPARATIVE-STUDY OF SEVERAL GENERAL CONVERGENCE CONDITIONS FOR ALGORITHMS MODELED BY POINT-TO-SET MAPS
TISHYADHIGAMA, S
POLAK, E
KLESSIG, R
MATHEMATICAL PROGRAMMING STUDY, 1979, 10 (FEB): : 172 - 190
[2] ON THE DIFFERENTIABILITY OF POINT-TO-SET MAPS
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[3] EXTENSIONS OF THE CONTINUITY OF POINT-TO-SET MAPS - APPLICATIONS TO FIXED-POINT ALGORITHMS
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MATHEMATICAL PROGRAMMING STUDY, 1979, 10 (FEB): : 48 - 68
[4] POINT-TO-SET MAPS IN MATHEMATICAL PROGRAMMING
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[5] CONTINUITIES OF THE POINT-TO-SET MAPS, DEFINITIONS AND EQUIVALENCES
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[7] CONTINUOUSIZATION OF THE FAMILY OF POINT-TO-SET MAPS AND ITS APPLICATIONS
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 153 (02) : 420 - 442
[8] FIXED-POINT THEOREMS FOR POINT-TO-POINT AND POINT-TO-SET MAPS
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 71 (02) : 516 - 524
[9] ASYMPTOTIC PROPERTIES OF SEQUENCES ITERATIVELY GENERATED BY POINT-TO-SET MAPS
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[10] ON THE BOUNDEDNESS OF CERTAIN POINT-TO-SET MAPS AND ITS APPLICATION IN OPTIMIZATION
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LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1986, 87 : 51 - 68

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